Critical steady states of all-to-all driven-dissipative models: An analytic approach

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Abstract

We analyse the properties across steady state phase transitions of two all-to-all driven-dissipative spin models that describe possible dynamics of N two-level systems inside an optical cavity. We show that the finite size behaviour around the critical points can be captured correctly by carefully identifying the relevant non-linearities in the Holstein-Primakoff representation of spin operators in terms of bosonic variables. With these tools, we calculate analytically various observables across the phase transitions and obtain their finite size scalings, including numerical prefactors.

Year of Publication
2024
Date Published
2024-01
Journal Title
Phys. Rev. A
Volume
109
Start Page or Article ID
013709
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